LCM of 987, 608, 646, 940, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 608, 646, 940, 677 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 987, 608, 646, 940, 677. So, keep reading to learn more.
Given numbers are 987,608,646,940,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,608,646,940,677 is 34532524320.
Find LCM of 987,608,646,940,677 with Prime Factorization
| 2 | 987, 608, 646, 940, 677 |
| 2 | 987, 304, 323, 470, 677 |
| 19 | 987, 152, 323, 235, 677 |
| 47 | 987, 8, 17, 235, 677 |
| 21, 8, 17, 5, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 47 x 21 x 8 x 17 x 5 x 677 = 34532524320
Therefore, the lowest common multiple of 987,608,646,940,677 is 34532524320.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
987 x 608 x 646 x 940 x 677 = 246700353742080
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
987 : 1, 3, 7, 21, 47, 141, 329, 987
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
646 : 1, 2, 17, 19, 34, 38, 323, 646
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,608,646,940,677, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
608:2x 2x 2x 2x 2x 19
646:2x 17x 19
940:2x 2x 5x 47
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 19x 47 = 7144
Therefore, the value for common factors is 7144.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 246700353742080/(1x7144)
LCM = 246700353742080/7144
LCM = 34532524320
Thus, we can understand that the LCM of 987,608,646,940,677 is 34532524320.
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FAQs on LCM of 987, 608, 646, 940, 677
1. What is the LCM of 987, 608, 646, 940, 677?
Answer: LCM of 987, 608, 646, 940, 677 is 34532524320.
2. How to calculate the LCM of 987, 608, 646, 940, 677?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 987, 608, 646, 940, 677.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.